Question

8. If a + b = 12 and ab = 36, find the value of a + b²
Do step by step
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Answer 1

Correct Question :-

If a + b = 12 and ab = 36, find the value of (a² + b²)

Given :-

a + b = 12

ab = 36

To Find :-

(a + b)²

Solution :-

We know that

(a + b)² = a² + 2ab + b²

(13)² = a² + 2(36) + b²

169 = a² + b² + 72

169 - 72 = a² + b²

97 = a² + b²

Answer 2

$\huge{\mathcal{\red{★}\green{★}\pink{★}\orange{★}\blue{★}\pink{★}}}$

$\textbf{\huge{\red{Question\::}} }$

If a + b = 12 & ab = 36 , find the value of (a + b)² .

$\textbf{\huge{\green{Given\::}} }$

$\implies$a + b = 12

$\implies$ab = 36

$\large\ \ \ \ \ \orange{\underline{\underline{To\:find\::}}}$

$\implies$ (a + b)²

$\textbf{\huge{\blue{Solution\::}} }$

We know that :

$\implies$ (a + b)² = a² + b² + 2ab

$\implies$ (13)² = a² + b² + 2(36)

$\implies$ 169 = a² + b² + 72

$\implies$ 169 - 72 = a² + b²

$\implies$ a² + b² = 97

$\huge{\mathcal{\red{★}\green{★}\pink{★}\orange{★}\blue{★}\pink{★}}}$